6. Geogebra

SSC BOARD EXAM ICT - Lesson No. 6 Geogebra

Fill in the blanks/MCQ

1)      The menu command used for hiding the axes is Axes.

2)      Algebra View shows different mathematical calculation and equations related to the Graphical view.

3)      Graphics View shows and allows to edit all the created objects.

4)      The tool used for the measurement of an interior angle is the Angle tool.

5)      Constructed objects and graphs of functions are shown in the Graphics view.

6)      To construct a line parallel to a given line and through a given point, you select the Parallel Line tool and click first on the point.

7)      An angle can be constructed by clicking the Segment between Two points in succession.

8)      The bisector of an angle can be constructed using Angle Bisector tool three times in succession.

9)      GeoGebra was specially designed by Markus Hohenwarter for middle school and high school students.

10)  The tool used for hiding the Axes tool.

11)  To create a histogram, we can used Input bar and Spreadsheet View.

12)  To save the construction select the File tab and click the Save button.

13)  The GeoGebra screen is divided into three parts.

14)  Input bar is used to input data required for calculations and geometric constructions.

15)  In GeoGebra, the Area tool is used to measure the area of a polygon.

16)  In GeoGebra, a slider can be included to interactively change the value of a variable or angle.

17)  The Mode[] command in GeoGebra must be supplied with  data list as parameter.

18)  In GeoGebra, the Polygon tool is used to draw a triangle.

19)  A segment of fixed length is drawn using the Segment with Given Length.

20)  While measuring an angle in GeoGebra, the vertices must be clicked in clockwise sense.

21)  A file created in GeoGebra is saved with the .ggb extension.

MCQ (Two Answers)

1)      In GeoGebra, the Graphic View shows geometric construction and the Algebra View shows different mathematical calculations.

2)      Every object in GeoGebra has algebraic and geometric representation.

3)      In GeoGebra, you can do different geometric and algebraic construction and processes easily with the help of set of instructions.

4)      Different complicated theorems and geometrical constructions can be understood very clearly with the help of GeoGebra.

5)      Class boundaries specified in the Histogram[] command determines width and position of each bar of the histogram.

6)      The Input bar in GeoGebra has input field and command button.

True or False                                                                                 

1)      GeoGebra screen is divided into three parts.  False

2)      The construction tools are used to solve any mathematical problem in GeoGebra. True

3)      Students can learn mathematics using computer with the help of a software called GeoGebra.  True

4)      For statistical calculations in GeoGebra, a list can created without the Spreadsheet View.  True

5)      Commands in GeoGebra can be selected from the list next to the input field on the Input bar.  True

6)      When using Graphics View, it is necessary to hide the coordinate axes.  False

7)      The X-Y axes in the Graphics View can be shown or hidden using the ‘Show / Hide Axes’ tool.   False

Answer the following:

1. Explain any two parts of the GeoGebra screen.

Ans. The main parts of the GeoGebra screen are :

a) Algebra View : This part of the GeoGebra screen lists the algebraic representations of all the mathematical objects created.

b) Graphic View : It is the main work area in which geometric objects are constructed or displayed.

c) Input bar : It contains a text box in which algebraic inputs - e.g. values, coordinates, equation, etc. as well as commands can be typed. there is also a drop down list boxu of all the GeoGebra commands.

2. Give two methods in GeoGebra to find mean, median and mode of a given list.

Ans. To find mean, median and mode of a list of sample date, the list may be created in two ways in GeoGebra, namely using the input bar of the Spreadsheet View.

Method 1 : In the input field of the Input bar, type the sample data as a comma delimited list within braces

Method 2 : Enable the Spreadsheet View from the View menu. Enter the data in the first column or row. Select all the data by dragging the mouse, and select Create List from the right-click context menu.

Suppose a list has been created with a name L₁. To find the mean, median and mod of the list, type each command  with the list name enclosed within square brackets in the Input bar.

Mean[L₁]

Median[L₁]

Mode[L₁]

and press enter key. The Algebra view displays the values under dependent objects.

3. Give the uses of the following tools in GeoGebra.

Click here to get list    Geogebra menu commands